Finding the Third Proportional to 90,879 and 186,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,879 : 186,289.50 = 186,289.50 : x
2. Step 2: Convert to fraction form
   90,879/186,289.50 = 186,289.50/x
3. Step 3: Cross multiply
   90,879x = 186,289.50 × 186,289.50
4. Step 4: Simplify right side
   90,879x = 34,703,777,810.25
5. Step 5: Solve for x
   x = 34,703,777,810.25/90,879
6. Step 6: Final answer
   x = 381,867.95